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34345653636 = 22372947299983
BaseRepresentation
bin11111111111001010…
…010001010110000100
310021122121101222110210
4133333022101112010
51030314441404021
623440030315420
72324055144660
oct377712212604
9107577358423
1034345653636
1113625253a18
1267a6358b70
1333147aa598
14193b6578a0
15d603c9e76
hex7ff291584

34345653636 has 96 divisors (see below), whose sum is σ = 96762839040. Its totient is φ = 9273043584.

The previous prime is 34345653631. The next prime is 34345653637. The reversal of 34345653636 is 63635654343.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (34345653631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35500 + ... + 264483.

It is an arithmetic number, because the mean of its divisors is an integer number (1007946240).

Almost surely, 234345653636 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34345653636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48381419520).

34345653636 is an abundant number, since it is smaller than the sum of its proper divisors (62417185404).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34345653636 is a wasteful number, since it uses less digits than its factorization.

34345653636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300073 (or 300071 counting only the distinct ones).

The product of its digits is 6998400, while the sum is 48.

The spelling of 34345653636 in words is "thirty-four billion, three hundred forty-five million, six hundred fifty-three thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 47 58 84 87 94 116 141 174 188 203 282 329 348 406 564 609 658 812 987 1218 1316 1363 1974 2436 2726 3948 4089 5452 8178 9541 16356 19082 28623 38164 57246 114492 299983 599966 899949 1199932 1799898 2099881 3599796 4199762 6299643 8399524 8699507 12599286 14099201 17399014 25198572 26098521 28198402 34798028 42297603 52197042 56396804 60896549 84595206 98694407 104394084 121793098 169190412 182689647 197388814 243586196 296083221 365379294 394777628 408876829 592166442 730758588 817753658 1184332884 1226630487 1635507316 2453260974 2862137803 4906521948 5724275606 8586413409 11448551212 17172826818 34345653636